Base | Representation |
---|---|
bin | 10011001110011001… |
… | …01000101000100000 |
3 | 222122022100100212101 |
4 | 21213030220220200 |
5 | 132114223100000 |
6 | 4424101140144 |
7 | 513525413434 |
oct | 114714505040 |
9 | 28568310771 |
10 | 10321300000 |
11 | 4417117500 |
12 | 20006ba654 |
13 | c8643530b |
14 | 6dcabc9c4 |
15 | 4061c7e6a |
hex | 267328a20 |
10321300000 has 216 divisors, whose sum is σ = 27950031396. Its totient is φ = 3748800000.
The previous prime is 10321299953. The next prime is 10321300001. The reversal of 10321300000 is 312301.
It can be written as a sum of positive squares in 6 ways, for example, as 3544059024 + 6777240976 = 59532^2 + 82324^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a self number, because there is not a number n which added to its sum of digits gives 10321300000.
It is not an unprimeable number, because it can be changed into a prime (10321300001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12099574 + ... + 12100426.
Almost surely, 210321300000 is an apocalyptic number.
10321300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10321300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13975015698).
10321300000 is an abundant number, since it is smaller than the sum of its proper divisors (17628731396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10321300000 is an frugal number, since it uses more digits than its factorization.
10321300000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 910 (or 871 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 10.
Adding to 10321300000 its reverse (312301), we get a palindrome (10321612301).
The spelling of 10321300000 in words is "ten billion, three hundred twenty-one million, three hundred thousand".
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